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MATH SEMINAR:Dynamics of weighted shifts on directed trees

Speaker:Dimitris Papathanesiou

Title: Dynamics of weighted shifts on directed trees

Date/Time: March 3, 2023 11:00AM

Place: FENS L067

Abstract: Weighted shifts on sequence spaces have been among the most important and well studied operators in functional analysis. We will generalize them by considering weighted shifts on sequence spaces indexed by the vertices of a directed tree. We intend to relate the dynamic behaviour of such shifts to the geometry of the underlying tree and the weight function. Specifically, we will provide complete characterizations for when those operators are hypercyclic, weakly mixing and mixing.

Bio: I am currectly a post doctoral researcher at Universite de Mons in Belgium. I took my Bachelor's and Masters degree from the Aristotle University of Thessaloniki. I attained my PhD diploma from Bowling Green State University and after that, I received several post doctoral fellowships in Belgium, France and Russia.